$\int_0^2 \sqrt{(x+3)(2-x)} d x=$

• Correct answer
  A

  $\frac{25}{8} \operatorname{Cos}^{-1}\left(\frac{1}{5}\right)-\frac{\sqrt{6}}{4}$
• B

  $\frac{25}{8} \operatorname{Sin}^{-1}\left(\frac{1}{5}\right)-\frac{\sqrt{6}}{4}$
• C

  $\frac{\pi}{2}$
• D

  $\pi$

Hence, the correct answer is option: 'A'.